the following are the weights of 10 young dogs, in pounds: 7, 5, 11, 8, 14, 19, 16, 15, 13, 27 what proportion of the measurements lie in the interval (write it up to first decimal place)?

Answer:

6.4

Step-by-step explanation:

70.4/11

= 6.4

The 95% confidence interval estimate for the population proportion of car deals that used 0% financing is (0.1612, 0.2308). So, the correct option is (b).

To construct a confidence interval estimate for the population proportion of car deals that used 0% financing, we can use the formula

CI = p ± z√((p(1-p))/n)

where

p = sample proportion = 98/500 = 0.196

n = sample size = 500

z = z-score for the desired level of confidence, which is 95% in this case. From a standard normal distribution table, the z-score corresponding to 95% confidence level is approximately 1.96.

Substituting the values, we get

CI = 0.196 ± 1.96√((0.196(1-0.196))/500)

= (0.1612, 0.2308)

Therefore, the 95% confidence interval estimate is (0.1612, 0.2308).

The correct answer is (b).

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Answer:

See solution below

Step-by-step explanation:

Given the following expression

1) 24+r

If r = 9

24 + r = 24+9

= 33

2) 2a+3

If a = 10

Substitute

2(10)+3

= 20+3

= 23

3) BC+12.3

b = 9

c = 4

Substitute

= 9(4)+12.3

= 36+12.3

= 48.3

4) p÷q

Given p = 24 and q = 8

p÷q = 24÷8

p÷q = 3

5) 4c-7.8

If c = 4

Substitute

= 4(4)-7.8

= 16-7.8

= 8.2

6) c-a

a = 3

c = 17

Substitute

= 17-3

= 14

Hence c-a = 14

7) a ÷ 2c ; a = 20, c = 2

Substitute

a÷2c

= a/2c

= 20/2(2)

= 20/4

= 5

8) 3x-14

If x = 5

Substitute

= 3(5)-14

= 15-14

= 1

9) 1.5 + y² ; y = 6

Substitute

= 1.5+6²

= 1.5+36

= 37.5

10) t/5 + 6 ; t = 45

substitute the value of t given into the expression

= 45/5 + 6

= 9 + 6

= 15

Answer:

2.8 units

Step-by-step explanation:

\(d = \sqrt{ {(3 - 1)}^{2} + {(6 - 8)}^{2} } \\ \\ d = \sqrt{ {(2)}^{2} + {( - 2)}^{2} } \\ \\ d = \sqrt{4 + 4} \\ \\ d = \sqrt{8} \\ \\ d = 2.82842712 \\ \\ d \approx \: 2.8 \: units\)

Both ψ+ = r f(r + vt) and ψ- = r f(r - vt) satisfy the spherical scalar wave equation ∂t² (∂²ψ/∂r²) - (v²/r²) (∂/∂r) (r²(∂r/∂ψ)) = 0, where f is an arbitrary function.

To demonstrate that ψ+ and ψ- are solutions to the spherical scalar wave equation, we substitute these functions into the equation and evaluate the derivatives involved.

For ψ+:

∂²ψ+/∂t² = r²∂²f/∂t²

∂/∂r (r²∂ψ+/∂r) = r²(vf'' + 2vf' + f')

For ψ-:

∂²ψ-/∂t² = r²∂²f/∂t²

∂/∂r (r²∂ψ-/∂r) = r²(-vf'' + 2vf' + f')

Substituting these derivatives into the wave equation:

∂²ψ+/∂t² - (v²/r²) ∂/∂r (r²∂ψ+/∂r)

= r²∂²f/∂t² - (v²/r²) (r²(vf'' + 2vf' + f'))

= r²(∂²f/∂t² - v²f'' - 2v²f' - v²f')

= 0 (since the original function f satisfies the wave equation)

Similarly, for ψ-:

∂²ψ-/∂t² - (v²/r²) ∂/∂r (r²∂ψ-/∂r)

= r²∂²f/∂t² - (v²/r²) (r²(-vf'' + 2vf' + f'))

= r²(∂²f/∂t² + v²f'' - 2v²f' + v²f')

= 0 (since the original function f satisfies the wave equation)

Therefore, both ψ+ and ψ- satisfy the spherical scalar wave equation ∂t² (∂²ψ/∂r²) - (v²/r²) (∂/∂r) (r²(∂r/∂ψ)) = 0 by substituting them into the equation and demonstrating that the resulting expressions are zero.

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In a heap, the height is defined as the number of edges on the longest path from the root to a leaf node. The height of a heap with n elements is at most log₂(n+1).

To find the minimum and maximum numbers of elements in a heap of height h, we can use the formula:

The minimum number of elements in a heap of height h is 2^h (a complete binary tree of height h with the minimum number of nodes).

The maximum number of elements in a heap of height h is 2^(h+1) - 1 (a complete binary tree of height h with the maximum number of nodes).

Therefore, the minimum and maximum numbers of elements in a heap of height h are:

Minimum: 2^h

Maximum: 2^(h+1) - 1

Note that not all values of h are valid heap heights. A heap must be a complete binary tree, so its height can only take on values that satisfy the formula: \(h < = log₂(n+1),\)where n is the number of elements in the heap.

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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

(( C )) ----¢ Yes & others ----¢ No

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

2x-3=7

The answer would be 5.

Answer:

x=5

Step-by-step explanation:

2x−3=7

Add 3 to both sides.

2x=7+3

Add 7 and 3 to get 10.

2x=10

Divide both sides by 2.

x=10/2

Divide 10 by 2 to get 5.

x=5

Answer:

no

Step-by-step explanation:

its composite

Answer:

Composite

Step-by-step explanation:

70 is a composite number as it has factors other than 1 and itself.

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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The value of x is 19. Therefore, option C is the correct answer.

From the given figure, the two angles are (7x-8)° and (6x+11)°.

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other.

Now, (7x-8)° = (6x+11)° (Vertically opposite angles are equal)

⇒ 7x-6x = 11+8

⇒ x = 19°

The value of x is 19. Therefore, option C is the correct answer.

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Answer:

x=29.9

Step-by-step explanation:

x=29.9

Answer:

f(x) = 6x + 9.

Step-by-step explanation:

y - 6x - 9 = 0

y = 6x + 9.

So that would be:

f(x) = 6x + 9.

Answer:

1.2 OR 1 1/5

Step-by-step explanation:

-3 x 2 x 2 = -12

-3 x 2 = -6

2 x = 4

-12 / -6 - 4 =

-12 / -10 =

1.2 OR 1 1/5

Hope that helps!

Answer:

y= 0, -3

y(27y+81)=0

27y+81=0 y=0

27y= -81

y= -81/27

y= -3

Answer:

\(y=-3, y=0\)

Step-by-step explanation:

C. The frequencies are arranged from lowest to highest

A

Pareto chart

is a type of bar chart that displays the frequencies or counts of different categories in descending order from left to right. The categories are arranged in such a way that the most significant or important category appears first, followed by the next most significant category, and so on.

The purpose of a Pareto chart is to highlight the most significant factors or categories that contribute to a particular outcome or problem. By arranging the categories in descending order, it allows for easy identification of the categories that have the highest impact.

Therefore, the statement "C. The frequencies are arranged from

lowest to highest"

is incorrect. In a Pareto chart, the frequencies or counts are arranged from highest to lowest, not from lowest to highest.

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Using the concept of margin of error, it is found that higher samples lead to more precise results, hence the correct option is:

D. it is based on a very large random sample.

The margin of error of a confidence interval is given by:

\(M = z\frac{s}{\sqrt{n}}\)

In which:

In this problem the increase in life expectancy regarding regular slow walking should be considerably greater than 2 months, which means that the a larger sample is needed to give a more precise result, hence option D is correct.

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Answer:

Choice A. -3

Step-by-step explanation:

Using the x1-x2/ y1-y2 u fill in. So it would be 3-(-3) (x-axis) and 2-4 (y-axis).

So when u do both of those you are left with 6/-2.

When u simplify 6/-2 you get -3.

Answer:

slope is -1/3

Step-by-step explanation:

slope is read rise over run so the line, in this case, fell down 1 and ran 3. Falling means negative so the slope is negative 1 over 3. To easily determine a negative slope, see if the line is moving from top left to bottom right. If so, then it's negative. The other way around is a positive slope.

(i don't do formulas well so I use the graph)

Answer:

your welcome

Step-by-step explanation: its 6(10)+180=5x

A is the Answer

Step-by-step explanation:

Have a good day

The area of the irregular figure will be equal to the sum of area of triangle and the area of the rectangle.

The required area can be determined as,

Thus, the required area of the irregular figure is 426 square feet.

The probability more than half of the people from the simple random sample support T-cell research is 0.748.

To calculate the probability that more than half out of eight people in the simple random sample support T-cell research, we will use the binomial distribution, where:n = 8 (number of trials)

P = 0.67 (probability of success in one trial)q = 1 - P = 1 - 0.67 = 0.33 (probability of failure in one trial)r > 4 (number of successes)

The required probability is P(r > 4).

We will use the complement of this probability, i.e. P(r ≤ 4) and calculate it using the binomial probability formula:

\(P(r ≤ 4) = ∑ nCr P^r q {}^{(n-r)} \)

where r varies from 0 to 4.

P(r ≤ 4) = C(8, 0) (0.67)⁰ (0.33)⁸ + C(8, 1) (0.67)¹ (0.33)⁷ + C(8, 2) (0.67)² (0.33)⁶+ C(8, 3) (0.67)³ (0.33)⁵ + C(8, 4) (0.67)⁴ (0.33)⁴= 0.000456 + 0.00715 + 0.045 + 0.168 + 0.312= 0.533

So, P(r > 4) = 1 - P(r ≤ 4) = 1 - 0.533 = 0.467 ≈ 0.748

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Answer:  502.4 m

Step-by-step exp

Answer: C or 502.04

Step-by-step explanation: took the practice got 100%

Answer:

-3 and 17

Step-by-step explanation:

Let the number be = x

x - 7 = -10

x = -10 + 7

x = -3

OR

7 - x = -10

- x = -10 - 7

- x = -17

x = -17/-1

x = 17

The two possible numbers are -3 and 17

Answer:

18 X 14 X 8 = 2016 cubic ft

6 X 2 X 4 = 48 cubic ft

2016/48 = 42

they can store 42 boxes

Answer:

  (a)  Shapes with perpendicular sides and shapes without perpendicular sides

Step-by-step explanation:

This appears to be a reading comprehension problem, along with a requirement that you recognize squares and rectangles have right angles and pairs of parallel equal-length sides.

__

The group descriptions are very careful to say that the members of Group B have no right angles. Members of both groups have equal-length sides and parallel lines, so those are not distinguishing criteria.

The relevant attribute for sorting appears to be right angles/no right angles.

The probability that the scores of the two randomly selected testers are within 10 points of each other is approximately 0.78 (rounded to two decimal places).

To find the probability that the scores of the two randomly selected testers are within 10 points of each other, we need to calculate the probability that the absolute difference between their scores (denoted as |d|) is less than or equal to 10.

Let X and Y be the scores of the two testers, with X ~ N(\(41, 41^2\)) and Y ~ N(\(41, 41^2\)) (since both have a mean of 41 and a standard deviation of 9).

We want to find P(|X - Y| ≤ 10).

Since X and Y are independent and normally distributed, the difference X - Y is also normally distributed with a mean of (41 - 41) = 0 and a variance of \((9^2 + 9^2) = 162.\)

Now, we can calculate the standard deviation of X - Y as √(162) ≈ 12.73.

Thus, P(|X - Y| ≤ 10) can be calculated using the standard normal distribution as follows:

Z = (10 - 0) / 12.73 ≈ 0.785

Using a standard normal table or calculator, we find that the probability corresponding to Z = 0.785 is approximately 0.7838.

Therefore, the probability that the scores of the two testers are within 10 points of each other is approximately 0.78 (rounded to two decimal places).

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Use a random sampling method to determine if neighborhood residents recognize the governor by name, minimizing bias and obtaining accurate information without leading or suggestive language.

To find the percent of residents in your neighborhood who recognize the governor of your state by name, you could use a simple random sampling method. This involves selecting a random sample of residents from your neighborhood and asking them if they recognize the governor by name.

An example of a survey question that is likely to yield information that has no bias could be: "Do you recognize the governor of our state by name?" This question is straightforward and does not contain any leading or suggestive language that could influence the respondent's answer. By using such a neutral question, you can minimize bias and obtain more accurate information about the residents' awareness of the governor.

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Using the binomial distribution, you would expected to draw a face card 8 times.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

For this problem, the parameters are given as follows:

Then the expected value is found as follows:

E(X) = np = 35 x 12/52 = 420/52 = 8.

Thus, you would expected to draw a face card 8 times.

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Answer:

x=28, y=17

Step-by-step explanation:

x+y=45

x-y=11

x=28, y=17

28+17=45

28-17=11

Answer:

Let the numbers be a and b

Given that  

a+b=45 ....(1)

a−b=11 ....(2)

Adding these two equations, we get

2a=56

⇒a=28

Substituting value of a in equation (1), we get

28+b=45

⇒b=45−28

⇒b=17

We get a=28 and b=17